Numerical integrations and unit resolution multipliers for domain decomposition methods with nonmatching grids

DOI10.1007/s00607-004-0093-zzbMath1070.65126OpenAlexW2167977935MaRDI QIDQ1776518

Niranjan Chakravarthy

Publication date: 12 May 2005

Published in: Computing (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00607-004-0093-z

zbMATH Keywords

numerical integrationdomain decompositionerror estimatenonmatching gridsmortar elementsmooth basisunit resolution multiplier

Mathematics Subject Classification ID

Multigrid methods; domain decomposition for boundary value problems involving PDEs (65N55) Finite element, Rayleigh-Ritz and Galerkin methods for boundary value problems involving PDEs (65N30) Iterative numerical methods for linear systems (65F10)

Related Items (1)

A mortar edge element method with nearly optimal convergence for three-dimensional Maxwell's equations

Cites Work

• Two different approaches for matching nonconforming grids: The mortar element method and the FETI method
• Element-free Galerkin method: Convergence of the continuous and discontinuous shape functions
• Substructuring preconditioners for the \(Q_ 1\) mortar element method
• Convergence of a substructuring method with Lagrange multipliers
• The mortar finite element method with Lagrange multipliers
• Multiplier Spaces for the Mortar Finite Element Method in Three Dimensions
• The mortar element method for three dimensional finite elements
• Iterative Methods by Space Decomposition and Subspace Correction
• Some Nonoverlapping Domain Decomposition Methods
• A Mortar Finite Element Method Using Dual Spaces for the Lagrange Multiplier
• A Stabilized Domain Decomposition Method with Nonmatching Grids for the Stokes Problem in Three Dimensions
• Efficient iterative solvers for elliptic finite element problems on nonmatching grids
• Domain Decomposition with Nonmatching Grids: Augmented Lagrangian Approach
• Gershgorin's Theorem and the Zeros of Polynomials
• Gaussian quadrature formulas for triangles
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